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<identifier>oai:HAL:hal-00689821v1</identifier>
<datestamp>2018-01-11</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Numerical simulation by a random particle method of Deuterium-Tritium fusion reactions in a plasma.</title>
<creator>Charles, Frédérique</creator>
<creator>Copol, Cédrick</creator>
<creator>Dellacherie, Stéphane</creator>
<creator>Mounsamy, Jean-Marc</creator>
<contributor>Laboratoire Jacques-Louis Lions (LJLL) ; Université Pierre et Marie Curie - Paris 6 (UPMC) - Université Paris Diderot - Paris 7 (UPD7) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>CEA-Direction de l'Energie Nucléaire (CEA-DEN) ; Commissariat à l'énergie atomique et aux énergies alternatives (CEA)</contributor>
<source>ISSN: 1270-900X</source>
<source>ESAIM: Proceedings</source>
<publisher>EDP Sciences</publisher>
<identifier>hal-00689821</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00689821</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00689821/document</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00689821/file/proc_versionHAL.pdf</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00689821</source>
<source>ESAIM: Proceedings, EDP Sciences, 2013</source>
<language>en</language>
<subject>[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We propose and we justify a Monte-Carlo algorithm which solves a spatially homogeneous kinetic equation of Boltzmann type that models the fusion reaction between a deuterium ion and a tritium ion, and giving an α particle and a neutron. The proposed algorithm is validated with the use of explicit solutions of the kinetic model obtained by replacing the fusion cross-section by a Maxwellian cross section.</description>
<date>2013-01-03</date>
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